Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
380.a1 |
380a2 |
380.a |
380a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 19 \) |
\( 2^{8} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.183906378$ |
$1$ |
|
$3$ |
$48$ |
$-0.105160$ |
$472058064/475$ |
$0.91565$ |
$4.29580$ |
$[0, 0, 0, -103, -402]$ |
\(y^2=x^3-103x-402\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(14, 30)]$ |
380.a2 |
380a1 |
380.a |
380a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.091953189$ |
$1$ |
|
$3$ |
$24$ |
$-0.451734$ |
$3538944/1805$ |
$1.20155$ |
$3.00529$ |
$[0, 0, 0, -8, -3]$ |
\(y^2=x^3-8x-3\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(-1, 2)]$ |
380.b1 |
380b1 |
380.b |
380b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 5^{5} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$240$ |
$0.628373$ |
$5405726654464/407253125$ |
$0.99078$ |
$5.40238$ |
$[0, -1, 0, -921, 10346]$ |
\(y^2=x^3-x^2-921x+10346\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.24.0.e.1, 152.12.0.?, $\ldots$ |
$[]$ |
380.b2 |
380b2 |
380.b |
380b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 19 \) |
\( - 2^{8} \cdot 5^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$480$ |
$0.974947$ |
$298091207216/3525390625$ |
$0.96838$ |
$5.88080$ |
$[0, -1, 0, 884, 44280]$ |
\(y^2=x^3-x^2+884x+44280\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.bc.1, 152.12.0.?, $\ldots$ |
$[]$ |